[0,1,1,2,1,2,3,1,2,2,3,4,1,2,2,3,3,4,5,1,2,2,3,2, 3,3,4,4,5,6,1,2,2,3,2,3,3,4,3,4,4,5,5,6,7,1,2,2,2, 3,3,4,2,3,3,4,3,4,4,5,4,5,5,6,6,7,8,1,2,2,3,2,3,3, 4,2,3,3,3,4,4,5,3,4,4,5,4,5,5,6,5,6,6,7,7,8,9]